Translating by Vector <a,b>

DIRECTIONS:

In the applet below, 1) Construct a triangle. A (2,1) B (4,1) C(3,4) 2) Use the VECTOR TOOL Toolbar Image to construct any vector whose terminal points DOES NOT lie on top of its initial point. 3) Display the label of the triangle's 3 vertices and vector you've just constructed. Use the "Name and Value" option when showing the label. 4) Use the TRANSLATE BY VECTOR TOOL Toolbar Image to translate the triangle by <-6,-4>

5)

Suppose the coordinates of a point P = (x, y). What is the image of P under a translation by vector with components <a, b>?

When you're done (or if you're unsure of something), feel free to check by watching the quick silent screencast below the applet.

Quick (Silent) Demo

In the applet below, 1) Construct a quadrilateral A (-4, 1) B(-1,1) C (-1,5) D (-4, 5) 2) Use the VECTOR TOOL Toolbar Image to construct any vector whose terminal points DOES NOT lie on top of its initial point. 3) Display the label of the triangle's 3 vertices and vector you've just constructed. Use the "Name and Value" option when showing the label. 4) Use the TRANSLATE BY VECTOR TOOL Toolbar Image to translate the triangle by <0,-3> 5) Use the TRANSLATE BY VECTOR TOOL Toolbar Image to translate the triangle by <5,0> 6)Use the TRANSLATE BY VECTOR TOOL Toolbar Image to translate the triangle by <4,-5>

Translating the Quadrilateral ABCD by <0,-3> moved the pre-image

Check all that apply

Translating the Quadrilateral ABCD by <5,0> moved the pre-image

Check all that apply

Translating the Quadrilateral ABCD by <4,-5> moved the pre-image

Check all that apply